I am a Heilbronn Research Fellow at the University of Manchester. Broadly, I study group theory.

I am currently interested in local group theory, specifically through the lens of saturated fusion systems over p-groups and their interactions with group amalgams. In fusion systems, my current research focuses on recognizing the p-fusion categories of simple groups of Lie type from prescribed local actions.

Alongside this, I am interested in exotic fusion systems at odd primes, and the applications of fusion systems to representation theory and homotopy theory.

A PDF copy of my CV is here .

Interests

- Fusion Systems
- Amalgams of Finite Groups
- Finite Local Group Theory

Education

PhD in Pure Mathematics, 2022

University of Birmingham

MASt in Mathematical Sciences, 2017

University of Warwick

BSc in Mathematics, 2016

University of Glasgow

**van Beek, M.**(2024). Rank 2 Amalgams and Fusion Systems. Lecture Notes in Mathematics.

**van Beek, M.**(2023). Fusion Systems on a Sylow $p$-subgroup of $G_2(p^n)$ or $PSU_4(p^n)$. Journal of Algebra.

**van Beek, M.**(2024). Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups. Submitted.**van Beek, M.**(2023). Saturated Fusion Systems on Sylow $p$-subgroups of Rank $2$ Simple Groups of Lie Type. Submitted.**van Beek, M.**(2022). Exotic Fusion Systems Related to Sporadic Simple Groups. Submitted.

Heilbronn Research Fellow

University of Manchester

Research Fellow

University of Birmingham

In February 2024, I taught a short postgraduate course titled “Topics in Finite $p$-groups.” Here are the notes and problem sheets:

Any suggestions or corrections would be greatly appreciated!

- martin.vanbeek@manchester.ac.uk
- Alan Turing Building, University of Manchester, Manchester, M13 9PL